Average Error: 0.0 → 0.0
Time: 4.5s
Precision: 64
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]
↓
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)
↓
\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)
double f(double re, double im) {
        double r17889 = 0.5;
        double r17890 = re;
        double r17891 = sin(r17890);
        double r17892 = r17889 * r17891;
        double r17893 = 0.0;
        double r17894 = im;
        double r17895 = r17893 - r17894;
        double r17896 = exp(r17895);
        double r17897 = exp(r17894);
        double r17898 = r17896 + r17897;
        double r17899 = r17892 * r17898;
        return r17899;
}
↓
double f(double re, double im) {
        double r17900 = 0.5;
        double r17901 = re;
        double r17902 = sin(r17901);
        double r17903 = r17900 * r17902;
        double r17904 = 0.0;
        double r17905 = im;
        double r17906 = r17904 - r17905;
        double r17907 = exp(r17906);
        double r17908 = exp(r17905);
        double r17909 = r17907 + r17908;
        double r17910 = r17903 * r17909;
        return r17910;
}

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]

  2. Final simplification0.0

    \[\leadsto \left(0.5 \cdot \sin re\right) \cdot \left(e^{0.0 - im} + e^{im}\right)\]

Reproduce

herbie shell --seed 2020056 
(FPCore (re im)
  :name "math.sin on complex, real part"
  :precision binary64
  (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))